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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 64974c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.c1 | 64974c1 | \([1, 1, 0, -2897199, -4147893819]\) | \(-466524661159336633/1018572198505056\) | \(-5871866028514145333856\) | \([]\) | \(5806080\) | \(2.8658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64974c do not have complex multiplication.Modular form 64974.2.a.c
sage: E.q_eigenform(10)